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Finding the Fourth Proportional to 3,266.90, 4,893.15 and 3,194.90

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Solution

The fourth proportional to 3,266.90, 4,893.15 and 3,194.90 is: 4,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.90 : 4,893.15 = 3,194.90 : x
  2. Step 2: Convert to fraction form
    3,266.90/4,893.15 = 3,194.90/x
  3. Step 3: Cross multiply
    3,266.90x = 4,893.15 × 3,194.90
  4. Step 4: Simplify right side
    3,266.90x = 15,633,124.94
  5. Step 5: Solve for x
    x = 15,633,124.94/3,266.90
  6. Step 6: Final answer
    x = 4,785.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.